Solve sumy=4x^2

$$\sum y = 4 x ^ { 2 }$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=\frac{4x^{2}}{Σ}\text{, }&Σ\neq 0\\y\in \mathrm{C}\text{, }&x=0\text{ and }Σ=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$Σy=4x^{2}$$

Divide both sides by Σ.

$$\frac{Σy}{Σ}=\frac{4x^{2}}{Σ}$$

Dividing by Σ undoes the multiplication by Σ.

$$y=\frac{4x^{2}}{Σ}$$

Solve for y

$$\left\{\begin{matrix}y=\frac{4x^{2}}{Σ}\text{, }&Σ\neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }Σ=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$Σy=4x^{2}$$

Divide both sides by Σ.

$$\frac{Σy}{Σ}=\frac{4x^{2}}{Σ}$$

Dividing by Σ undoes the multiplication by Σ.

$$y=\frac{4x^{2}}{Σ}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{y}\sqrt{Σ}}{2}$$

$$x=\frac{\sqrt{y}\sqrt{Σ}}{2}$$

Solve for x

$$x=\frac{\sqrt{yΣ}}{2}$$

$$x=-\frac{\sqrt{yΣ}}{2}\text{, }\left(y\geq 0\text{ and }Σ\geq 0\right)\text{ or }\left(Σ\leq 0\text{ and }y\leq 0\right)$$